Further, reflected entropy is of particular interest in holography, due to its relationship to the so-called entanglement wedge cross-section [1]}, the minimal area surface \(\Gamma _{A:B}\)  in the dual bulk geometry that divides the entanglement wedge of \(AB\)  into two parts \(a\)  and \(b\) , one bounded by \(A \cup \Gamma _{A:B}\) , the other by \(B \cup \Gamma _{A:B}\)  as shown in fig:EW. Using similar arguments to Lewkowycz-Maldacena (LM)[2]}, including a key assumption about the possible dominating saddles for the Euclidean gravitational path integral, it was shown in Ref. [3]} that:
\(S_R(A:B) = 2 EW(A:B) \equiv \min _{\Gamma _{A:B}} 2 \frac{\mathrm {Area}(\Gamma _{A:B})}{4G_N}~.\) 
